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Finding the Fourth Proportional to 3,467.97, 4,785.75 and 1,975.95

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Solution

The fourth proportional to 3,467.97, 4,785.75 and 1,975.95 is: 2,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.97 : 4,785.75 = 1,975.95 : x
  2. Step 2: Convert to fraction form
    3,467.97/4,785.75 = 1,975.95/x
  3. Step 3: Cross multiply
    3,467.97x = 4,785.75 × 1,975.95
  4. Step 4: Simplify right side
    3,467.97x = 9,456,402.71
  5. Step 5: Solve for x
    x = 9,456,402.71/3,467.97
  6. Step 6: Final answer
    x = 2,726.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.